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Finding the Third Proportional to 59.06 and 92.72

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Solution

The third proportional to 59.06 and 92.72 is: 145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.06 : 92.72 = 92.72 : x
  2. Step 2: Convert to fraction form
    59.06/92.72 = 92.72/x
  3. Step 3: Cross multiply
    59.06x = 92.72 × 92.72
  4. Step 4: Simplify right side
    59.06x = 8,596.77
  5. Step 5: Solve for x
    x = 8,596.77/59.06
  6. Step 6: Final answer
    x = 145.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.